differential equations; equations of mathematical physics; theoretic hydrodynamics.
Subject:
The reflection of the spherical shock wave from the plane wall was investigated. The approximate solution of this problem in the neighbourhood of the reflection point was obtained in the form of the truncated series. The asymptotics at infinity of the viscous fluid 3D steady flow around a smooth body was investigated in the two articles. The first of these was written in collaboration with K. I. Babenko. In the second article some restrictions to body shape were taken off and the theorem about the force acting on an arbitrary smooth body was proved. This theorem for the tranverse force component is an analog of the known Joukowsky lift theorem for the case of 3D viscous flow around a body. With the use of hydrodynamic potentials a number of problems related to the viscous incompressible fluid flow was considered. The solution asymptotics of some boundary-value problems in the cases of systems of the equations for the plane and axially symmetric viscous, heat conducting gas flows were determined.
Biography
Graduated from Physical-technical Faculty of M. V. Lomonosov Moscow State University (MSU) (now MFTI) in 1952 (department of hydrodynamic). Ph.D. thesis was defended in 1974. Senior scientific associate) — 1981. Docent — 1984.
Worked in the Steklov Institute of Mathematics of RAS in 1952–1954. Work in Keldysh Institute of Applied Mathematics of RAS from 1954. From 1976 to 1995 lectured on mathematics in the Mendeleev Institute of Chemical Technology. Participated in the international congresses in Athens (WCNA, 1996), Berlin(ICM, 1998; ISAAC, 2001), international conferences in Moscow (P. L. Chebyshev memorial conference, 1996), in Regensburg (GAMM, 1997) and others. The list of my works contains more than 40 titles.
Main publications:
Bruno A. D., Vasiliev M. M. Asymptotic analysis of the viscous fluid flow around a flat plate by Newton polyhedron // Nonlinear Analysis, Theory, Methods and Applications. 1997, 30(8), 4765–4770 (Proc. 2nd World Congress of Nonlinear Analysis).
M. M. Vasiliev, “About unsteady boundary layer on a dihedral angle”, Keldysh Institute preprints, 2006, 056, 10 pp.
2.
M. M. Vasiliev, “The viscous heat conducting gas flow in a dihedral angle”, Keldysh Institute preprints, 2006, 055, 12 pp.
2005
3.
M. M. Vasiliev, “About the boundary layer on a dihedral angle”, Keldysh Institute preprints, 2005, 071
2004
4.
M. M. Vasiliev, “On the viscous fluid flow around a semi-infinite needle situated on the axis of a conic diffuser”, Keldysh Institute preprints, 2004, 009, 14 pp.
2003
5.
M. M. Vasiliev, “About the self-similar solutions of some magnetohydrodynamic problems”, Keldysh Institute preprints, 2003, 075, 27 pp.
2002
6.
M. M. Vasiliev, “About the steady flow of the viscous heat conducting gas in the planar diffuser”, Keldysh Institute preprints, 2002, 063
2001
7.
M. M. Vasiliev, “About the axially symmetric flows of the viscous heat conducting gas”, Keldysh Institute preprints, 2001, 011
2000
8.
M. M. Vasiliev, “The Asymptotic Behavior îf the Steady Viscous Heat Conducting Gas Flow in the Planar Diffuser”, Keldysh Institute preprints, 2000, 035
1999
9.
M. M. Vasiliev, “About the Computation of the Boundary Layer on the Semi-Infinite Flat Plate in the Viscous Heat Conductive Gas Flow”, Keldysh Institute preprints, 1999, 043
1998
10.
M. M. Vasiliev, “About the Asymptotic Analysis of the Viscous Heat Conductive Gas Flow Equations”, Keldysh Institute preprints, 1998, 065
1997
11.
M. M. Vasiliev, “About the Obtaining the Automodelling Solutions of the Viscous Heat Conductive Gas Flows”, Keldysh Institute preprints, 1997, 095
1995
12.
A. D. Bruno, M. M. Vasiliev, “Newton Polyhedra and the Asymptotic Analysis of the Viscous Fluid Flow Around Flat Plate”, Keldysh Institute preprints, 1995, 044
1994
13.
M. M. Vasiliev, K. N. Efimkin, V. N. Ivanova, “On the application of the hydrodynamic potentials method to the viscous fluid flow problem”, Matem. Mod., 6:10 (1994), 57–65
K. I. Babenko, M. M. Vasiliev, “Stability of viscous incompressible fluid flows on a plane torus”, Dokl. Akad. Nauk SSSR, 295:1 (1987), 51–55
1983
15.
K. I. Babenko, M. M. Vasiliev, “Demonstrative computations in the problem of the stability of a
plane Poiseuille flow”, Dokl. Akad. Nauk SSSR, 273:6 (1983), 1289–1294
M. M. Vasiliev, G. P. Voskresenskii, A. V. Zabrodin, “II All-Union School “Theoretical Foundations and Construction of Numerical Algorithms for Solving Problems of Mathematical Physics””, Uspekhi Mat. Nauk, 33:4(202) (1978), 236–238
M. M. Vasiliev, G. P. Voskresenskii, “Proceedings of the Fourth International Conference on Numerical Methods in Fluid Dynamics, Ed. Roberu D. Richtmyer (review)”, Uspekhi Mat. Nauk, 32:1(193) (1977), 252–256
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